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Finding the Fourth Proportional to 25,169.31, 37,770.98 and 9,586.53

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Solution

The fourth proportional to 25,169.31, 37,770.98 and 9,586.53 is: 14,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,169.31 : 37,770.98 = 9,586.53 : x
  2. Step 2: Convert to fraction form
    25,169.31/37,770.98 = 9,586.53/x
  3. Step 3: Cross multiply
    25,169.31x = 37,770.98 × 9,586.53
  4. Step 4: Simplify right side
    25,169.31x = 362,092,632.90
  5. Step 5: Solve for x
    x = 362,092,632.90/25,169.31
  6. Step 6: Final answer
    x = 14,386.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.